10 citations · 30 across the 23 of their papers we have counts for
23 papers
Piecewise linear cusp bifurcations in ultradiscrete dynamical systems
Shousuke Ohmori, Yoshihiro Yamazaki
We investigate the dynamical properties of cusp bifurcations in max-plus dynamical systems derived from continuous differential equations through the tropical discretization and th…
A Generalization for Ultradiscrete Limit Cycles in a Certain Type of Max-Plus Dynamical Systems
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of a generalized max-plus model for ultradiscrete limit cycles are investigated.This model includes both the negative feedback model and the Sel'kov model. It…
Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models
Yoshihiro Yamazaki, Shousuke Ohmori
The state of limit cycles for a tropically discretized Sel'kov model becomes ultradiscrete due to phase lock caused by a saddle-node bifurcation. This property is essentially the s…
Conway's law, revised from a mathematical viewpoint
Shigeki Matsutani, Shousuke Ohmori, Kenji Hiranabe +1
In this article, we revise Conway's Law from a mathematical point of view. By introducing a task graph, we first rigorously state Conway's Law based on the homomorphisms in graph t…
Construction of topological representation of geometric patterns using Cantor self-similar set
Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto +1
Universal representation of geometric patterns of disordered matters is investigated with the aid of general topology. By utilizing the result obtained in the previous study (S. Oh…
Emergence of ultradiscrete states due to phase lock caused by saddle-node bifurcation in discrete limit cycles
Yoshihiro Yamazaki, Shousuke Ohmori
Dynamical properties of limit cycles in a tropically discretized negative feedback model are numerically investigated. This model has a controlling parameter , which corresponds…